The reactions ${\pi }^{-}p\to {\pi }^{0}n$, ${\pi }^{-}p\to \eta n$, $K^{-}p\to {\overline{K}}^{0}n$, and $K^{+}n\to K^{0}p$, where $\rho$ and/or $A_2$ exchanges are involved, are considered within the complex-pole model with the amplitudes given by ${\gamma }_{+}{\xi }_{+}{s}^{{\alpha }_{+}}+{\gamma }_{-}{\xi }_{-}{s}^{{\alpha }_{-}}$. Our fits confirm the prediction of the dual absorption model in that we find the real part of the residue function, ${\gamma }_R$, to be $\sim J_n$ with $n=0, 1$. For the imaginary part, ${\gamma }_I$, we find that since the $j$-plane cuts are strong for the spin-nonflip amplitude we have ${\gamma }_I\sim -{\mathcal{H}}_0$, the Struve function, whereas the cuts are weak for the spin-flip amplitude so that ${\gamma }_I\sim 0$. The contribution of ${\gamma }_I$ to the amplitude always appears in the form ${\alpha }_I{\gamma }_I$, which is quite small. Good quantitative fits to all the data are obtained in terms of only four parameters for the exchange-degenerate $\rho$, $A_2$ residue if we take $J_0\left(R_0{\mathrm{}(-t)\mathrm{}}^{\frac{1}{2}}\right)\mp i{\mathcal{H}}_0\left(R_0^{\prime }{\mathrm{}(-t)\mathrm{}}^{\frac{1}{2}}\right)$ as the nonflip residue and $\frac{J_1\left(R_1{\mathrm{}(-t)\mathrm{}}^{\frac{1}{2}}\right)}{R_1{\mathrm{}(-t)\mathrm{}}^{\frac{1}{2}}}\mp i\lambda {\alpha }_I$ as the flip residue with $R_0\approx R_0^{\prime }\approx R_1\approx 1$ F and $\lambda <1\mathrm{}$. For the imaginary part of the trajectory function we find ${〈{\alpha }_I〉}_{\rho }=0.17\mathrm{}$ and ${〈{\alpha }_I〉}_A=0.26\mathrm{}$. The presence of nonzero ${\alpha }_I$ removes the need for any explicit ghost-eliminating factors. A detailed discussion of this model as well as a comparison with other models is made.

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